48.5 is what percent of 850.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 850.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 850.5, so we can write it down as 100%=850.5.
4. We know, that x% equals 48.5 of the output value, so we can write it down as x%=48.5.
5. Now we have two simple equations:
1) 100%=850.5
2) x%=48.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=850.5/48.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.5 is what percent of 850.5

100%/x%=850.5/48.5
(100/x)*x=(850.5/48.5)*x       - we multiply both sides of the equation by x
100=17.536082474227*x       - we divide both sides of the equation by (17.536082474227) to get x
100/17.536082474227=x
5.7025279247501=x
x=5.7025279247501

now we have:
48.5 is 5.7025279247501% of 850.5